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Finding the Third Proportional to 904,854,094,560 and 1,968,573,559,968

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Solution

The third proportional to 904,854,094,560 and 1,968,573,559,968 is: 4,282,769,878,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,854,094,560 : 1,968,573,559,968 = 1,968,573,559,968 : x
  2. Step 2: Convert to fraction form
    904,854,094,560/1,968,573,559,968 = 1,968,573,559,968/x
  3. Step 3: Cross multiply
    904,854,094,560x = 1,968,573,559,968 × 1,968,573,559,968
  4. Step 4: Simplify right side
    904,854,094,560x = 3,875,281,861,005,084,767,289,344
  5. Step 5: Solve for x
    x = 3,875,281,861,005,084,767,289,344/904,854,094,560
  6. Step 6: Final answer
    x = 4,282,769,878,926.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.